简介:AsolutiontothereparametrizationofBéziercurvesbysinetransformationofBernsteinbasisispresented.Theneweffectivereparametrizationmethodisgiventhroughthefollowingprocedures:educingSineBernstein-BézierClass-SBBCfunction,definingSBBCcurveanddiscussingtherelationbetweenSBBCandBéziercurve.
简介:UE-Bézier(unifiedandextendedBézier)basisistheunifiedformofBézier-likebases,includingpolynomialBézierbasis,trigonometricpolynomialandhyperbolicpolynomialBézierbasis.SimilartotheoriginalBézier-likebases,UE-Bézierbasisfunctionsarenotorthogonal.Inthispaper,agroupoforthogonalbasisisconstructedbasedonUE-Bézierbasis.ThetransformationmatricesbetweenUE-Bézierbasisandtheproposedorthogonalbasisarealsosolved.
简介:Thispaperpresentsanewbasis,theWSBbasis,whichunifiestheBernsteinbasis,Wang-BallbasisandSaid-Ballbasis,andthereforetheBéziercurve,Wang-BallcurveandSaid-BallcurvearethespecialcasesoftheWSBcurvebasedontheWSBbasis.Inaddition,therelativedegreeelevationformula,recursivealgorithmandconversionformulabetweentheWSBbasisandtheBernsteinbasisaregiven.
简介:BSplineInterpolationBasedonOptimization①DejunSongXinxiongZhuDepartmentofManufacturingEngineeringBeijingUniversityofAeronautic...
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简介:Amethodforfairingasurfacecomposedofasetofdiscretedatapointsdistributedinanonrectangulartopologicalmeshispresented.AllcurvesareexpressedbynonuniformcubicB-splinecurves.Thefairingmethodisminimizingtheelasticstrainenergyofmeshcurvesandofspringsat-tachedtothedatapoints.Thefairingsurfacecanbegeneratedbyinterpolatingthroughthemeshcurves.Thegenerationandfairingofashiphullsurfaceisgivenasanexample.